On N=2 low energy effective actions

TL;DR

This paper develops a Wilsonian effective action for N=2 theories, demonstrating the independence of the holomorphic function F from infrared cutoffs and classifying higher-dimensional corrections affecting the Kahler potential.

Contribution

It introduces a compatible Wilsonian action with special geometry, analyzes cutoff independence of F, and classifies higher-dimensional contributions to the N=2 effective action.

Findings

Holomorphic function F is cutoff independent.

Infrared cutoff tuning cancels leading corrections in SU(2) super Yang-Mills.

Classification of higher-dimensional contributions to the Kahler potential.

Abstract

We propose a Wilsonian action compatible with special geometry and higher dimension N=2 corrections, and show that the holomorphic contribution F to the low energy effective action is independent of the infrared cutoff. We further show that for asymptotically free SU(2) super Yang-Mills theories, the infrared cutoff can be tuned to cancel leading corrections to F. We also classify all local higher-dimensional contributions to the N=2 superspace effective action that produce corrections to the Kahler potential when reduced to N=1 superspace.